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Finding the Fourth Proportional to 294,859.90, 442,289.85 and 73,243.90

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Solution

The fourth proportional to 294,859.90, 442,289.85 and 73,243.90 is: 109,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,859.90 : 442,289.85 = 73,243.90 : x
  2. Step 2: Convert to fraction form
    294,859.90/442,289.85 = 73,243.90/x
  3. Step 3: Cross multiply
    294,859.90x = 442,289.85 × 73,243.90
  4. Step 4: Simplify right side
    294,859.90x = 32,395,033,544.42
  5. Step 5: Solve for x
    x = 32,395,033,544.42/294,859.90
  6. Step 6: Final answer
    x = 109,865.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.